Search a number
-
+
98401207100 = 225272171979787
BaseRepresentation
bin101101110100100101…
…0110100001100111100
3100101222202020020200212
41123221022310030330
53103011202111400
6113112131211552
710052321313500
oct1335112641474
9311882206625
1098401207100
1138805a09359
12170a2446bb8
13938250a241
144a969a2300
15285dbc8335
hex16e92b433c

98401207100 has 432 divisors, whose sum is σ = 280707033600. Its totient is φ = 29663262720.

The previous prime is 98401207057. The next prime is 98401207127. The reversal of 98401207100 is 170210489.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125032907 + ... + 125033693.

It is an arithmetic number, because the mean of its divisors is an integer number (649784800).

Almost surely, 298401207100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98401207100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140353516800).

98401207100 is an abundant number, since it is smaller than the sum of its proper divisors (182305826500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98401207100 is a wasteful number, since it uses less digits than its factorization.

98401207100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

Adding to 98401207100 its reverse (170210489), we get a palindrome (98571417589).

The spelling of 98401207100 in words is "ninety-eight billion, four hundred one million, two hundred seven thousand, one hundred".